The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints
Abstract
A minimal and predictive Majorana neutrino mass texture is proposed. The texture correlates the atmospheric mixing angle and Dirac CP phase and constrains the absolute neutrino masses, Majorana phases and the effective Majorana mass mββ. A correlated oscillation likelihood admits both normal and inverted orderings, with the normal-ordering solution giving the lower minimum in the present fit, and the predicted mass scale is confronted with recent DESI limits. The texture is realised in a hybrid Type-I seesaw plus Weinberg-like dimension-six framework with A4⊗ Z10⊗ Z7⊗ Z5⊗ Z3 flavour symmetry. Both the Altarelli--Feruglio (A--F) and Ma--Rajasekaran (M--R) realisations reproduce the texture at the retained order. Using the complete renormalisable scalar potential, the A--F alignment is found to contain a physical CP-even zero mode at tree level, while the M--R alignment admits a finite locally stable and bounded region together with sufficient conditions for a global minimum. Seven physical CP-odd zero modes are identified and lifted by controlled dimension-two soft terms without shifting the desired real M--R vacuum or the leading tree-level neutrino texture. Charged lepton flavour violation and non-unitarity provide complementary constraints. The conventional Type-I unflavoured and flavoured leptogenesis contributions vanish for the retained Yukawa structure, and the residual discrete vacuum degeneracy and associated domain-wall problem are discussed.
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BibTeX
@misc{goswami2026triadic,
title = {{The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints}},
author = {Sagar Tirtha Goswami and Pralay Chakraborty and Subhankar Roy},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.18154},
eprint = {2605.18154},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.18154},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints
AU - Sagar Tirtha Goswami
AU - Pralay Chakraborty
AU - Subhankar Roy
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2605.18154
UR - https://arxiv.org/abs/2605.18154
AB - A minimal and predictive Majorana neutrino mass texture is proposed. The texture correlates the atmospheric mixing angle and Dirac CP phase and constrains the absolute neutrino masses, Majorana phases and the effective Majorana mass m_ββ. A correlated oscillation likelihood admits both normal and inverted orderings, with the normal-ordering solution giving the lower minimum in the present fit, and the predicted mass scale is confronted with recent DESI limits. The texture is realised in a hybrid Type-I seesaw plus Weinberg-like dimension-six framework with A_4⊗ Z_10⊗ Z_7⊗ Z_5⊗ Z_3 flavour symmetry. Both the Altarelli--Feruglio (A--F) and Ma--Rajasekaran (M--R) realisations reproduce the texture at the retained order. Using the complete renormalisable scalar potential, the A--F alignment is found to contain a physical CP-even zero mode at tree level, while the M--R alignment admits a finite locally stable and bounded region together with sufficient conditions for a global minimum. Seven physical CP-odd zero modes are identified and lifted by controlled dimension-two soft terms without shifting the desired real M--R vacuum or the leading tree-level neutrino texture. Charged lepton flavour violation and non-unitarity provide complementary constraints. The conventional Type-I unflavoured and flavoured leptogenesis contributions vanish for the retained Yukawa structure, and the residual discrete vacuum degeneracy and associated domain-wall problem are discussed.
ER -